Pith Number

pith:F6LKX5T4

pith:2006:F6LKX5T44U37O6B4ODGURIMULN

not attested not anchored not stored refs pending

Quantum ergodicity for graphs related to interval maps

G. Berkolaiko, J.P. Keating, U. Smilansky

arxiv:math-ph/0607008 v1 · 2006-07-07 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6LKX5T44U37O6B4ODGURIMULN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:10:47.346620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f96abf67ce537f7783c70cd48a1945b5effd3a12c63c42261686af98c313cd6

Aliases

arxiv: math-ph/0607008 · arxiv_version: math-ph/0607008v1 · doi: 10.48550/arxiv.math-ph/0607008 · pith_short_12: F6LKX5T44U37 · pith_short_16: F6LKX5T44U37O6B4 · pith_short_8: F6LKX5T4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F6LKX5T44U37O6B4ODGURIMULN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f96abf67ce537f7783c70cd48a1945b5effd3a12c63c42261686af98c313cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7615596e0e52c8de9f4a04956caa05c9231f318f4c15bf1a7e1ae4fa617dc640",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-07T01:20:52Z",
    "title_canon_sha256": "0d12739529e6fec065daa840071785f14d80e69cf144421c1e4071d4e21fc194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607008",
    "kind": "arxiv",
    "version": 1
  }
}